LCM of 604, 442, 780, 304, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 442, 780, 304, 302 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 604, 442, 780, 304, 302. So, keep reading to learn more.
Given numbers are 604,442,780,304,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,442,780,304,302 is 152171760.
Find LCM of 604,442,780,304,302 with Prime Factorization
| 2 | 604, 442, 780, 304, 302 |
| 2 | 302, 221, 390, 152, 151 |
| 13 | 151, 221, 195, 76, 151 |
| 151 | 151, 17, 15, 76, 151 |
| 1, 17, 15, 76, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 151 x 1 x 17 x 15 x 76 x 1 = 152171760
Therefore, the lowest common multiple of 604,442,780,304,302 is 152171760.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
604 x 442 x 780 x 304 x 302 = 19117642552320
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
604 : 1, 2, 4, 151, 302, 604
442 : 1, 2, 13, 17, 26, 34, 221, 442
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
302 : 1, 2, 151, 302
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,442,780,304,302, is 2.
Now, the common factors can be found like this.
604:2x 2x 151
442:2x 13x 17
780:2x 2x 3x 5x 13
304:2x 2x 2x 2x 19
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 13x 151 = 62816
Therefore, the value for common factors is 62816.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 19117642552320/(2x62816)
LCM = 19117642552320/125632
LCM = 152171760
Thus, we can understand that the LCM of 604,442,780,304,302 is 152171760.
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FAQs on LCM of 604, 442, 780, 304, 302
1. What is the LCM of 604, 442, 780, 304, 302?
Answer: LCM of 604, 442, 780, 304, 302 is 152171760.
2. How to calculate the LCM of 604, 442, 780, 304, 302?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 604, 442, 780, 304, 302.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.